The probability that a fair coin tossed 10 times will land heads up on all ten tosses is 1 out of ____. 2 10 210

Question

asked Apr 20, 2018 233k views

2 Answers

Flyingjamus · Answer 1 · 2018-04-25T06:34:17+0000

Answer:

The probability is:

$1\ out\ of\ 2^(10)$

Explanation:

It is given that a fair coin is tossed 10 times.

As we know that each toss is independent of the other tosses.

Also the probability of turning up head and tail are equal and is equal to 1/2.

Hence, the probability of obtaining a head in all the 10 toss is calculated as:

$Probability=(1)/(2)* (1)/(2)* (1)/(2)* (1)/(2)* (1)/(2)* (1)/(2)* (1)/(2)* (1)/(2)* (1)/(2)* (1)/(2)\\\\\\Hence,\\\\Probability=(1)/(2^(10))$

Hence, the probability that the coin will turn up head in all the 10 tosses is:

$1\ out\ of\ 2^(10)$